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Finding the Fourth Proportional to 121.05, 182.16 and 113.76

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Solution

The fourth proportional to 121.05, 182.16 and 113.76 is: 171.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.05 : 182.16 = 113.76 : x
  2. Step 2: Convert to fraction form
    121.05/182.16 = 113.76/x
  3. Step 3: Cross multiply
    121.05x = 182.16 × 113.76
  4. Step 4: Simplify right side
    121.05x = 20,722.52
  5. Step 5: Solve for x
    x = 20,722.52/121.05
  6. Step 6: Final answer
    x = 171.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.